Symmetric Galerkin boundary element computation of T -stress and stress intensity factors for mixed-mode cracks by the interaction integral method

2004 ◽  
Vol 28 (11) ◽  
pp. 1335-1350 ◽  
Author(s):  
Alok Sutradhar ◽  
Glaucio H. Paulino
Keyword(s):  
Stress Intensity ◽  
Boundary Element ◽  
Stress Intensity Factors ◽  
Integral Method ◽  
Mixed Mode ◽  
Intensity Factors ◽  
Interaction Integral ◽  
T Stress ◽  
Element Computation

Estimation of Mixed-Mode Stress Intensity Factors with Presence of the Confinement Parameters T-Stress and A3

2016 ◽  
Vol 18 ◽  
pp. 52-57
Author(s):  
Lahouari Fodil ◽  
Abdallah El Azzizi ◽  
Mohammed Hadj Meliani
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Compact Tension ◽  
Mode I ◽  
Mode Ii ◽  
Mixed Mode Fracture ◽  
Intensity Factors ◽  
Element Analysis ◽  
T Stress

A failure criterion is proposed for ductile fracture in U-notched components under mixed mode static loading. The Compact Tension Shear (CTS) is the preferred test specimen used to determine stress intensity factor in the mode I, mode II and the mixed-mode fracture. In this work, the mode I and mode II stress intensity factors were computed for different notch ratio lengths 0.1<a/W<0.7, of the inner radius of notch 0.25mm<ρ<4mm and load orientation angles 0°<α< 90° using finite element analysis. However, a review of numerical analysis results reveals that the conventional fracture criteria with only stress intensity factors (NSIFs) Kρ first term of Williams’s solution provide different description of stress field around notch zone comparing with results introduce the second and third parameter T-stress and A3.

A Generalized Interaction Integral Method for the Evaluation of the T-Stress in Orthotropic Functionally Graded Materials Under Thermal Loading

2008 ◽  
Vol 75 (5) ◽  
Author(s):  
Jeong-Ho Kim ◽  
Amit KC
Keyword(s):  
Orthotropic Material ◽  
Integral Method ◽  
Mixed Mode ◽  
Functionally Graded ◽  
Intensity Factors ◽  
Graded Materials ◽  
Interaction Integral ◽  
T Stress ◽  
Mode Stress ◽  
Material Gradation

The interaction integral method that is equipped with the nonequilibrium formulation is generalized to evaluate the nonsingular T-stress as well as mixed-mode stress intensity factors in orthotropic functionally graded materials under thermomechanical loads. This paper addresses both Mode-I and mixed-mode fracture problems and considers various types of orthotropic material gradation. The orthotropic thermomechanical material properties are graded spatially and integrated into the element stiffness matrix using the direct Gaussian formulation. The types of orthotropic material gradation considered include exponential, power-law, and hyperbolic-tangent functions, and the numerical formulation is generalized for any type of smooth material gradation. The T-stress and mixed-mode stress intensity factors are evaluated by means of the interaction integral method developed in conjunction with the finite element method. The accuracy of numerical results is assessed by means of thermomechanically equivalent problems.

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